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Rings, Modules, and Representations
August 14-18, 2000
Ovidius University
Constanta, Romania

Organizers
Laszlo Marki, Fred van Oystaeyen, Klaus W. Roggenkamp, Mirela Stefanescu

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When incidence algebras and semialgebras are unique addition rings
by
Irena I. Artamonova
Moscow State University

We consider multiplicative isomorphisms of incidence (semi)algebras of the locally finite partially ordered set. It is proved, that the incidence (semi)algebras have unique addition, i.e. there exists only one operation of addition on the incidence semialgebra adjusted with the multiplication. Some particular classes of unique addition semirings are described.

Date received: June 30, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafe-26.